Design Calculation Anchor Flange - ASME VIII Div 1

Design calculation Anchor Flanges According ASME VIII div 1 appendix 2 Customer: Customer ref: Date: PFF ref:

Design data figure de di dfd rimod fd bc df2 NB th x re

273.1 242.9 15.1 480 150 0 0 0 400 330 100

mm

description

mm mm mm mm mm mm mm

Outside diameter welding end Inside diameter Wall thickness welding end Flange blade outside diameter Flange blade thickness Diameter bolt circle Bolt holes diameter Number of bolts total hight Diameter conical hub Design temperature

mm mm °C

Rt

382

N/mm2

Yield at design temperature

Rm ca milt TD pd

620 3 1

N/mm mm %

Tensile at 20° Corrosion allowance Mill tolerance

218

bar

Design pressure

dsf fe me

0.5 1450 110

N/mm2 kN kNm

Design factor B31.X External axial force External moment

2

Calculated figures FEC = MEC = PDC =

1450000 110000000 21.8

N N Mpa

[= fe x 1000] [= me *1000*1000] [= pd/10]

ge = 381

g0 = dimax = h= g1 = h0 =

11.949

mm

[= dfd-dfd x milt / 100 - ca]

249.051 125 40.475

mm mm mm

[= [= [= [=

54.551905549 mm

(minimum wall thickness)

di+dfd x milt / 100 + ca x 2] (Maximum ID) (th-fd)/2] (Hight conical hub) (x - di)/2] (Average thickness conical hub) √(dimax x g0)] (Square root (max id x minimum

wall thickness)

ckness conical hub) (max id x minimum WT))

Calculation of value c: C1 C2 C3 C4

= = = =

0.5322725751 0.2398321587 0.0113932128 0.0652798148

[=1/3 + (a/12) [=5/42+17 x a/336] [=1/210 + a/360] [=11/360 + 59 x a/5040+(1+3 x a)/c]

C5 = C6 =

-0.00932231 0.0172160927

[=1/90 + 5 x a/1008-(1+a)3/c] [=1/120 + 17 x a/5040 + 1/c]

C7 =

0.29432043

C8 =

0.0294661804

[=31/6930 + 128 x a /45045 + (6/7 + 15 x a/7 + 12 x a 2/7 + 5 x a3/11)/c]

C9 =

0.0537576445

[=533/30240 + 653 x a/73920 + (1/2 + 33 x a/14 + 39 x a 2/28 + 25 x a3/84)/c]

[=215/2772 + 51 x a/1232 + (60/7 + 225 x a/14 + 75 x a 2/7 + 5 x a3/2)/c]

C10 =

-0.0131748

C11 =

0.0174469992

[=31/6048 + 1763 x a/665280 + (1/2 + 6 x a/7 + 15 x a 2/28 + 5 x a3/42)/c]

C12 =

0.0052659899

[=1/2925 + 71 x a/300300 + (8/35 + 18 x a/35 + 156 x a 2/385 + 6 x a3/55)/c]

C13 =

0.0038515659

[=761/831600+937 x a/1663200 + (1/35 + 6 x a/35 + 11 x a 2/70 + 3 x a3/70)/c]

C14 =

-0.00142985

C15 =

0.0014524687

[=233/831600+97 x a/544400 + (1/35 + 3 x a/35 + a 2/14 + 2 x a3/105)/c]

C16 =

0.0001827433

[=(C1 x C7 X C12 + C2 x C8 x C3 + C3 x C8 x C2 - (C3 2 x C7 + C82 x C1 + C22 x C12)]

C17 =

0.0489984794

[=(C4 x C7 x C12 + C2 x C8 x C13 + C3 x C8 x C9 - (C13 x C7 x C3 + C8 2 x C4 + C12 x C2 x C9))/C16]

C18 =

0.0030194494

[=(C5 x C7 x C12 + C2 x C8 x C14 + C3 x C8 x C10 - (C14 x C7 x C3 + C8 2 x C5 + C12 x C2 x C10))/C16]

C19 =

0.0052068386

[=(C6 x C7 x C12 + C2 x C8 x C15 + C3 x C8 x C11 - (C15 x C7 x C3 + C8 2 x C6 + C12 x C2 x C11))/C16]

C20 =

0.1821552523

[=(C1 x C9 x C12 + C4 x C8 x C3 + C3 x C13 x C2 - (C3 2 x C9 + C13 x C8 x C1 + C12 x C4 x C2))/C16]

C21 =

-0.0440792

[=(C1 x C10 x C12 + C5 x C8 x C3 + C3 x C14 x C2 - (C3 2 x C10 + C14 x C8 x C1 + C12 x C5 x C2))/C16]

C22 =

0.0649162487

[=(C1 x C11 x C12 + C6 x C8 x C3 + C3 x C15 x C2 - (C3 2 x C11 + C15 x C8 x C1 + C12 x C6 x C2))/C16]

C23 =

-0.39386777

[=(C1 x C7 x C13 + C2 x C9 x C3 + C4 x C8 x C2 - (C3 x C7 x C4 + C8 x C9 x C1 + C2 2 x C13))/C16]

C24 =

-0.03141068

[=(C1 x C7 x C14 + C2 x C10 x C3 + C5 x C8 x C2 - (C3 x C7 x C5 + C8 x C10 x C1 + C2 2 x C14))/C16]

C25 =

-0.0986875897

C26 = C27 = C28 =

-4.16539074 -0.48760771 -0.04531244

C29 = C30 C31 C32 C33 C34

-17.35048

= = = = =

-72.2715287 7.122101365 0.8763061852 -5.27688508 0.1430091734

C35 = C36 = C37 = E1 = E2 = E3 = E4 = E5 = E6 =

-0.21822022 -0.37954133 1.933619375 -0.00550945 0.0123086657 -0.0727458197 0.3178452361 -0.0007149 -0.08160568

[=29/3780 + 3 x a/704 - (1/2 + 33 x a/14 + 81 x a 2/28 + 13 x a3/12)/c]

[=197/415800 + 103 x a/332640 - (1/35 + 6 x a/35 + 17 x a 2/70 + a3/10)/c]

[=(C1 x C7 x C15 + C2 x C11 x C3 + C6 x C8 x C2 - (C3 x C7 x C6 + C8 x C11 x C1 + C2 2 x C15))/C16 [=-(c/4)0,25] [=C20 - C17 - 5/12 + C17 x C26] [=C22 - C19 - 1/12 + C19 x C26] [=-(c/4)0,5] [=-(c/4)0,75] [=3 x a/2 - C17 x C30] [=1/2 - C19 x C30] [=0,5 x C26 x C32 + C28 x C31 x C29 - (0,5 x C30 x C28 + C32 x C27 x C29)] [=1/12 + C18 - C21 - C18 x C26] [=-C18 x (c/4)0,75] [=(C28 x C35 x C29 - C32 x C34 x C29)/C33] [=(0,5 x C26 x C35 + C34 x C31 x C29 - (0,5 x C30 x C34 x+ C35 x C27 x C29))/C33] [=C17 x C36 + C18 + C19 x C37] [=C20 x C36 + C21 + C22 x C37] [=C23 x C36 + C24 + C25 x C37] [=1/4 + C37/12 + C36/4 - E3/5 - 3 x E2/2 - E1] [=E1 x (1/2 + a/6) + E2 x (1/4 + 11 x a/84) + E3 x (1/70 + a/105)] [=E5 - C36 x (7/120 + a/36 + 3 x a/c) - 1/40 - a/72 - C37 x (1/60 + a/120 + 1/c)]

a=

2.387270901 [=(g1/g0)-1]

c=

1204.1566259088 [=43,68 x (h/h0)4]

Calculation of value F, f & v: F= f=

3 0.5517260562 [=-E6/((c/2,73)0,25 x ((1+a)0.551726 )/c) 1 [=C36 / (1+a)] -0.112049

If g1 = g0 F=0,90892 If g1 = g0 or f